Question

Solve this system of equations.

4x + 3y + z = -4

x - 3y + 2z = -25

11x - 2y +3z = -63

Write the solution as an ordered triple.

PLEASE MAKE SURE THIS IS CORRECT. I KEEP PAYING FOR THE WRONG ANSWERS.

Answer 1

Augmented matrix for given system of equations

solution using Gauss-Jordan elimination

Your matrix

	X1	X2	X3	b
1	4	3	1	-4
2	1	-3	2	-25
3	11	-2	3	-63

Find the pivot in the 1st column and swap the 2nd and the 1st rows

	X1	X2	X3	b
1	1	-3	2	-25
2	4	3	1	-4
3	11	-2	3	-63

Eliminate the 1st column

	X1	X2	X3	b
1	1	-3	2	-25
2	0	15	-7	96
3	0	31	-19	212

Make the pivot in the 2nd column by dividing the 2nd row by 15

	X1	X2	X3	b
1	1	-3	2	-25
2	0	1	-7/15	32/5
3	0	31	-19	212

Eliminate the 2nd column

	X1	X2	X3	b
1	1	0	3/5	-29/5
2	0	1	-7/15	32/5
3	0	0	-68/15	68/5

Make the pivot in the 3rd column by dividing the 3rd row by -68/15

	X1	X2	X3	b
1	1	0	3/5	-29/5
2	0	1	-7/15	32/5
3	0	0	1	-3

Eliminate the 3rd column

	X1	X2	X3	b
1	1	0	0	-4
2	0	1	0	5
3	0	0	1	-3

Solution set:

x = -4

y = 5

z = -3

(x,y,z) = (-4 , 5 , -3)